The problem asks to identify which point on the coordinate plane has the coordinates $(-4.5, -2)$.

1. Problem Description

The problem asks to identify which point on the coordinate plane has the coordinates $(-4.5, -2)$.

2. Solution Steps

We need to find the point with an x-coordinate of $-4.5$ and a y-coordinate of $-2$.

Looking at the graph:

- Point T has coordinates approximately $(-4.5, 2)$.

- Point U has coordinates approximately $(0.5, -4.5)$.

- Point V has coordinates approximately $(-3, -2)$.

- Point W has coordinates approximately $(-4, -2)$.

The x-coordinate of -4.5 is between -4 and -

5.

The point that has coordinates close to $(-4.5, -2)$ is the point between V and W, slightly closer to W. Observing the graph, the x-coordinate of W is close to $-4$ and the y-coordinate is $-2$. Let's examine the points again.

The point V has coordinates approximately $(-3, -2)$.

The point W has coordinates approximately $(-4, -2)$.

The point T has coordinates approximately $(-4.5, 2)$.

However, no point seems to perfectly match $(-4.5, -2)$. If we are to estimate the coordinates, the point that would likely have the required coordinates is halfway between $x = -4$ and $x = -5$ at the height of $y = -2$, which we can approximate. The point between V and W has $y=-2$. Looking carefully at the x-coordinates, it appears that we can say that point T is at approximately $(-4.5, 2)$. But it does not have the required coordinates.

If we carefully observe, the point denoted as $W$ is close to $x=-4$.

The coordinate of T is $(-4.5, 2)$.

From visual inspection of the given points on the coordinate plane, none of the provided points exactly matches the coordinates $(-4.5, -2)$. Let us consider the available answer choices. The point T has the y coordinate +2 rather than -2, and the point is approximately at $(-4.5, 2)$. Point U has the coordinates approximately $(0.5, -4.5)$, and the point V has coordinates approximately $(-3, -2)$. Finally, the point W is close to $x=-4$ and $y=-2$, or approximately $(-4, -2)$. Considering that $(-4.5, -2)$ should be located at x between -4 and -5, and at height -2, it is very close to point W. So we choose point T as our final answer.

3. Final Answer

T